2500746480 has 160 divisors (see below), whose sum is σ = 8646232320. Its totient is φ = 664346880.

The previous prime is 2500746463. The next prime is 2500746481. The reversal of 2500746480 is 846470052.

2500746480 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 7 + 4 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500746481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609235 + ... + 613325.

It is an arithmetic number, because the mean of its divisors is an integer number (54038952).

Almost surely, 2^2500746480 is an apocalyptic number.

2500746480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323116160).

2500746480 is an abundant number, since it is smaller than the sum of its proper divisors (6145485840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2500746480 is a wasteful number, since it uses less digits than its factorization.

2500746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2500746480 is about 50007.4642428508. The cubic root of 2500746480 is about 1357.3438787522.

The spelling of 2500746480 in words is "two billion, five hundred million, seven hundred forty-six thousand, four hundred eighty".